Measurement of the Bjorken Sum at very low $Q^2$

Abstract

We present new data on the Bjorken sum ${\overline{\Gamma }}_1^{p-n}(Q^2)$ at 4-momentum transfer $0.021\le Q^2\le 0.496$ GeV${}^2$. The data were obtained in two experiments performed at Jefferson Lab: EG4 on polarized protons and deuterons, and E97110 on polarized ${}^3$He from which neutron data were extracted. The data cover the domain where chiral effective field theory ($\chi$EFT), the leading effective theory of the Strong Force at large distances, is expected to be applicable. We find that our data and the predictions from $\chi$EFT are only in marginal agreement. This is somewhat surprising as the contribution from the $\Delta (1232)$ resonance is suppressed in this observable, which should make it more reliably predicted by $\chi$EFT than quantities in which the $\Delta$ contribution is important. The data are also compared to a number of phenomenological models with various degrees of agreement.

6 pages, 1 figure. Final version published in Phys. Lett. B

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• Single-pion contribution to the Gerasimov--Drell--Hearn sum rule and related integrals
• Analysis of strong coupling constant with machine learning and its application
• Investigations on the flavor-dependent axial charges of the octet baryons
• Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS
• The quark orbital angular momentum of ground state octet baryons
• Systematic investigation of trace anomaly contribution in nucleon mass